Allen Farrington

Allen Farrington

Author: Brian HIrschfield and Rob Hamilton May 15, 2026 Duration: 1:32:21

In this first-ever guest episode of Magic Internet Math, Rob Hamilton and I (Brian Hirschfield) welcome author and thinker Allen Farrington for an unfiltered tour through math as a liberal art, why rigor matters more than vibes, and how curiosity—not applications—often drives real progress. We trade stories about learning (and unlearning) math, from the lore of the irrationality of √2 and CP Snow’s Two Cultures, to Paul Lockhart’s Mathematician’s Lament, Joel David Hamkins’ philosophy of mathematics, and the perennial tug-of-war between pure and applied work. We also dig into education: what good teaching feels like, why boredom or excessive difficulty turn students off, and how letting people “cook” can build conviction and genuine understanding.

From elliptic curves to hash functions, we connect math to Bitcoin without turning into “I f’ing love science” cosplay. Allen throws down a challenge on explaining why hash functions have the properties we rely on (beyond just how they’re built or what they do), teeing up our next series. Along the way we touch cryptography culture, modular arithmetic, the modularity theorem vs. Fermat’s Last Theorem credit, and how AI tools help—and fail—when you push past the training data. Come for the banter; stay for the foundations, the philosophy, and the mission to create shareholder value by going pointlessly deep in order to build practical tools later.


What if the foundational ideas securing Bitcoin weren't just abstract concepts but something you could grasp and verify for yourself? Magic Internet Math, hosted by Brian Hirschfield and Rob Hamilton, is built on the conviction that true ownership in the digital age requires personal understanding. This podcast delves into the specific mathematical principles that make Bitcoin function, moving beyond surface-level explanations to explore the actual reasoning behind the protocol. The goal is to replace reliance on experts with genuine, self-verified knowledge. Hirschfield and Hamilton believe that without comprehending this core math, one's belief in the system remains fragile, always subject to external influence and uncertainty. Their discussions aim to transform complex topics into accessible, conversational explorations, breaking down the barriers that often make technical subjects feel intimidating. By focusing on the logical pathways from first principles, the show provides listeners with the tools to build their own intellectual conviction. It’s for anyone who has ever wondered how Bitcoin actually works under the hood and feels that trusting a white paper or a charismatic figure isn't quite enough. The conversations in this podcast are designed to empower, offering a deeper literacy in the cryptographic and economic ideas that define this new asset class. You'll hear detailed walkthroughs of key algorithms, discussions on probability and game theory as they apply to consensus, and an ongoing analysis of how mathematical certainty creates a new form of digital sovereignty. This isn't about investment advice or price speculation; it's a foundational education. Tune in to shift from being a passive holder to an informed participant, equipped with the knowledge to critically evaluate the system you’re trusting with your value. Magic Internet Math frames mathematics not as a gatekeeper, but as the essential tool for liberation and confidence in a rapidly evolving technological landscape.
Author: Language: English Episodes: 32

Magic Internet Math
Podcast Episodes
Satoshi Ep2: Trust and Trustlessness [not-audio_url] [/not-audio_url]

Duration: 0:22
This podcast episode discusses Satoshi Nakamoto's vision of replacing institutional trust with cryptographic proof in a peer-to-peer electronic cash system. Key Topics: Trust in Financial Systems Cryptographic Proof vs.…
Satoshi Ep 1: The Vision [not-audio_url] [/not-audio_url]

Duration: 4:02
This podcast episode, titled "The Vision," explores the foundational principles behind Bitcoin as articulated by Satoshi Nakamoto, focusing on the problem of double-spending and the innovative solution of replacing trust…
Pascal's Wager, Blackjack, and Homeschooling [not-audio_url] [/not-audio_url]

Duration: 1:08:57
This is the second episode of the Internet Math podcast, where the hosts discuss their views on math, its connection to spirituality, and the importance of individual knowledge creation. Key Topics: Ice storm in Nashvill…
MoM Ep5: Descartes [not-audio_url] [/not-audio_url]

Duration: 9:36
This podcast episode of Men of Mathematics discusses the life and mathematical contributions of René Descartes, focusing on his unification of algebra and geometry. Key Topics: René Descartes' early life and education De…
MoM Ep4: Archimedes [not-audio_url] [/not-audio_url]

Duration: 10:35
This podcast episode of Men of Mathematics discusses the life and achievements of Archimedes of Syracuse, considered the greatest scientist of the ancient world. Key Topics: Archimedes' early life and education Archimede…
MoM Ep3: Eudoxus of Connitus [not-audio_url] [/not-audio_url]

Duration: 9:37
httts://www.magicinternetmath.com This podcast episode of Men of Mathematics explores the life and mathematical contributions of Eudoxus of Connitus, highlighting his solutions to the crisis of incommensurables and his d…
MoM Ep2: Zeno of Elea [not-audio_url] [/not-audio_url]

Duration: 9:22
https://magicinternetmath.com This podcast episode of "Men of Mathematics" delves into the paradoxes of Zeno of Elea, exploring how his challenges to motion and infinity spurred mathematical development over two millenni…
MoM Ep1: Men of Mathematics - An Introduction [not-audio_url] [/not-audio_url]

Duration: 10:41
Episode 1: 2,500 Years of Mathematical Genius Men of Mathematics | Part 1: Ancient Mathematics What do a Greek philosopher killed by Roman soldiers, a French teenager who died in a duel, and a German mathematician driven…
BFI Ep2: HODL'ing Bitcoin is Irrational [not-audio_url] [/not-audio_url]

Duration: 0:25
HODL'ing Bitcoin is Irrational BUY THE BOOK Amazon: https://www.amazon.com/Bitcoin-Institutions-Brian-Hirschfield/dp/B0FCZHXFGS/ Buy with Bitcoin: https://zeuspay.com/btc-for-institutions TAKE THE FREE COURSE http://bfi.…
BFI Ep1: Bitcoin is for Individuals [not-audio_url] [/not-audio_url]

Duration: 0:25
Episode 1 of 15 | Part 1: Bitcoin is for Individuals Introduction BUY THE BOOK Amazon: https://www.amazon.com/Bitcoin-Institutions-Brian-Hirschfield/dp/B0FCZHXFGS/ Buy with Bitcoin: https://zeuspay.com/btc-for-institutio…